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Finding the Fourth Proportional to 459.40, 689.10 and 134.78

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Solution

The fourth proportional to 459.40, 689.10 and 134.78 is: 202.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.40 : 689.10 = 134.78 : x
  2. Step 2: Convert to fraction form
    459.40/689.10 = 134.78/x
  3. Step 3: Cross multiply
    459.40x = 689.10 × 134.78
  4. Step 4: Simplify right side
    459.40x = 92,876.90
  5. Step 5: Solve for x
    x = 92,876.90/459.40
  6. Step 6: Final answer
    x = 202.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.